---
res:
  bibo_abstract:
  - "This paper deals with the large-scale behaviour of dynamical optimal transport
    on Zd\r\n-periodic graphs with general lower semicontinuous and convex energy
    densities. Our main contribution is a homogenisation result that describes the
    effective behaviour of the discrete problems in terms of a continuous optimal
    transport problem. The effective energy density can be explicitly expressed in
    terms of a cell formula, which is a finite-dimensional convex programming problem
    that depends non-trivially on the local geometry of the discrete graph and the
    discrete energy density. Our homogenisation result is derived from a Γ\r\n-convergence
    result for action functionals on curves of measures, which we prove under very
    mild growth conditions on the energy density. We investigate the cell formula
    in several cases of interest, including finite-volume discretisations of the Wasserstein
    distance, where non-trivial limiting behaviour occurs.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Peter
      foaf_name: Gladbach, Peter
      foaf_surname: Gladbach
  - foaf_Person:
      foaf_givenName: Eva
      foaf_name: Kopfer, Eva
      foaf_surname: Kopfer
  - foaf_Person:
      foaf_givenName: Jan
      foaf_name: Maas, Jan
      foaf_surname: Maas
      foaf_workInfoHomepage: http://www.librecat.org/personId=4C5696CE-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-0845-1338
  - foaf_Person:
      foaf_givenName: Lorenzo
      foaf_name: Portinale, Lorenzo
      foaf_surname: Portinale
      foaf_workInfoHomepage: http://www.librecat.org/personId=30AD2CBC-F248-11E8-B48F-1D18A9856A87
  bibo_doi: 10.1007/s00526-023-02472-z
  bibo_issue: '5'
  bibo_volume: 62
  dct_date: 2023^xs_gYear
  dct_identifier:
  - UT:000980588900001
  dct_isPartOf:
  - http://id.crossref.org/issn/0944-2669
  - http://id.crossref.org/issn/1432-0835
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Homogenisation of dynamical optimal transport on periodic graphs@
  fabio_hasPubmedId: '37131846'
...